Gauge theory of the star product

DOI10.1016/j.nuclphysb.2007.09.012zbMath1225.81077arXiv0705.1785OpenAlexW1983776744WikidataQ63354283 ScholiaQ63354283MaRDI QIDQ2478308

Allen Stern, Aleksandr Pinzul

Publication date: 27 March 2008

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.1785

zbMATH Keywords

star productnon-commutative gauge theory

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Noncommutative geometry methods in quantum field theory (81T75) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Related Items

Noncommutative \( {{\mathbb{R}}}^d \) via closed star product ⋮ A minimal framework for non-commutative quantum mechanics ⋮ The Gribov problem in noncommutative gauge theory ⋮ Noncommutative Point Sources

Cites Work

• Unnamed Item
• Non-constant non-commutativity in 2d field theories and a new look at fuzzy monopoles
• Gauge theories on the \(\kappa\)-Minkowski spacetime
• Traces for star products on symplectic manifolds
• Deformation quantization of Poisson manifolds
• The quantum structure of spacetime of the Planck scale and quantum fields
• Symmetry, gravity and noncommutativity
• On the principles of elementary quantum mechanics
• Generalized coherent state approach to star products and applications to the fuzzy sphere
• Nonabelian noncommutative gauge theory via noncommutative extra dimensions